Download UCSD MATHEMATICS The Language of Science www.math.ucsd.edu

Why Math? Why UCSD?
Undergraduate Program
Mathematics provides powerful intellectual tools that have led
to tremendous advances in modern science and technology.
The department offers seven different undergraduate degree
programs to accomodate various interests in mathematics, pure
and applied. Our undergrads are accepted into top-rank
graduate programs or enter the work-force in many high-level
positions. We currently offer the following degrees:
The Department of Mathematics provides courses of study that
introduce students to the fundamentals of mathematics and
allow them to master the most important parts of the subject
both pure and applied. Undergraduate students go on to
careers as consultants, financial analysts, math and science
teachers, researchers, securities brokers, web developers,
earthquake consultants, actuaries, technical assistants, as well
as graduate school . Graduates of our Ph.D. program go on to
tenured positions in leading universities as well as key
executive and technical roles in international business ventures.
Since its founding in 1960, UCSD has risen from an isolated
ocean research institute to one of the premier universities in the
nation. Located on 1,200 acres of coastal woodland just north
of the city of San Diego, the campus boasts one of the best
climates of any university in the world. The educational climate
is equally ideal. UCSD is at the forefront of the ‘new economy,’
leading the nation in biotechnology and telecommunication
research. With strong traditions of interdisciplinary scholarship
and entrepreneurial innovation, the university looks to continue
its growth in the new century.
UCSD MATHEMATICS
The Language of Science
www.math.ucsd.edu
The Mathematics Department on this campus was founded by
Stefan Warschawski, who recruited the initial group of members
in 1964. His philosophy was to organize a department that
would have broad interests covering both Pure and Applied
Mathematics and to recruit the best faculty available in every
field. Continuing this philosophy, the department has grown
through the years and has included three Fields Medalists, four
members of the National Academy of Sciences, five members
of the American Academy of Arts & Sciences, eleven Sloan
Fellowship recipients, and fifteen recipients of various competitive fellowships and awards.
Most of the fundamental ideas of science are essentially simple, and
may, as a rule, be expressed in a language comprehensible to
everyone. - Albert Einstein
For the things of this world cannot be made known without a
knowledge of mathematics. - Roger Bacon
Graduate Program
A flexible program combining coursework, three qualifying
examinations, research, teaching experience and thesis
research, encourages students to pursue their special interests
while providing a broad, advanced education. Doctoral
students are primarily supported by teaching assistantships.
We offer curricula leading to the:
M.A.
M.A.
M.S.
Ph.D.
in Pure Mathematics
in Applied Mathematics
in Statistics
in Mathematics
Information on applying for available outside fellowships can be
found at: http://ogsr.ucsd.edu/fellowships/
Electronic or paper applications require a $60.00 processing
fee (http://www-ogsr.ucsd.edu/prospective/). Applications and
supporting documents for the Ph.D. program are due by midJanuary of each year for the Fall term only. The deadline for all
Master degree programs is typically March 1st of each year.
For application and further information please visit:
http://www.math.ucsd.edu/graduate/application/
Student Opportunities
Honors Program
The department offers an honors program for those undergraduates who have demonstrated excellence in the majors.
Successful completion of the honors program (a written thesis
is required) entitles the student to graduate with departmental
honors.
UCSD Math Club
Provides opportunities for students to find out about internships and career opportunities through social and professional
networking events, community service projects, speakers and
seminars.
Academic Employment
The department regularly employes graduate students as
Teaching Assistants in its undergraduate courses; additionally,
undergraduate students are employed as course graders,
calculus lab tutors and, occasionally, lower division Teaching
Assistants.
Undergraduate Student Seminars
Students have the opportunity to learn of a variety of topics,
current research results, and career opportunities in mathematics. All designed for the undergraduate audience.
B.A. in Mathematics
Designed for those interested in mathematical theory. For
students who wish to gain a graduate degree in Math.
B.A. in Applied Mathematics
For those interested in the classical relationships between
mathematics, the physical sciences, and engineering.
B.S. in Mathematics-Scientific Computation
Well suited for those interested in mathematical theory and its
applications in computing.
B.A. in Mathematics-Applied Science
For those who have an interest in a specific scientific field as
well as mathematics.
B.A. in Mathematics-Computer Science
Trains mathematically oriented computer scientists in the
mathematical foundations of computer science.
B.A. in Mathematics-Secondary Education
Designed for those who have an interest in teaching mathematics at the K-12 level.
B.A. in Mathematics and Economics
A joint major giving an excellent training to those interested in
graduate programs in economics and finance.
Math Advising Office
A departmental advisor is available to speak to current and
potential mathematics majors regarding course selection and
progress toward a degree. The advisor can also assist in
career development through individual and group sessions.
For further information please visit the following website:
http://www.math.ucsd.edu/undergraduate/
By the Numbers...
Department of Mathematics
Total undergraduate majors:
Ratio of Male to Female:
2001-02 graduating majors:
Median Math B.A. Income:
Graduate Students:
Ph.D.s Granted 2001-02
Permanent Faculty Members:
Overall Program Ranking:
Among Public Schools:
University of California, San Diego
Avg Admitted Freshman GPA:
Avg Admitted Freshman SAT1:
Total Undergraduate Enrollment:
Ratio of Male to Female:
Total Undergraduate Degrees (00/01):
Undergraduate Graduation Rate:
Mean Undergraduate GPA:
Total Graduate Enrollment:
Total Graduate Degrees (00/01):
Nobel Laureate Faculty:
National Academy of Sciences:
Overall School Ranking:
Among Public Schools:
470
61:39
92
$51,5841
95
9
53
17th2
6th2
4.03
1282
17,505
48:52
3,713
78%
3.02
2,999
991
10
61
31st3
7th3
1
Mathematics is the queen
of sciences .... She often
condescends to render
service to astronomy
and other natural sciences,
but in all relations she is
entitled to the first rank.
-Carl Friedrich Gauss
Mathematics Internships
An enrichment program which provides work experience with
public/private sector employers under the supervision of a
faculty member and site supervisor.
MathStorm
The Graduate Mathematics Consulting Group (GMCG) is a
group of graduate students in the UCSD Department of
Mathematics who volunteer their time to assist researchers
with mathematical problems. The service is free to the
UCSD research community.
The mathematical sciences particularly exhibit order, symmetry, and
limitation; and these are the greatest forms of the beautiful. - Aristotle
Source: “Postsecondary Education Opportunity”, March 1996.
Source: Research-Doctorate Programs in the United States: Continuity and
Change, a 1994 National Research Council study.
3
Source: USnews.com, “America’s Best Colleges 2002.”
2
For More Information
UCSD Mathematics
http://www.math.ucsd.edu/
Transfer Course Equivalencies
http://www.math.ucsd.edu/frontdesk/equivalencies/
Math Testing and Placement
http://www.math.ucsd.edu/~mtp/
Mathematics Faculty
Life is good for only two things, discovering mathematics and teaching mathematics. - Siméon Poisson
COMMUTATIVE AND NONCOMMUTATIVE ALGEBRA /
GROUP THEORY
STATISTICS / BIOSTATISTICS / BIOMATHEMATICS
Zheng-Xu He (Ph.D. UCSD) Professor
Topology, Geometry, Complex Variables
Helmut Rohrl (Ph.D. Munich) Professor Emeritus
Nonassociative Algebra, Convexity Theories
Ian Abramson (Ph.D. UC Berkeley) Professor
Statistics
Hans Lindblad (Ph.D. Lund) Associate Professor
Nonlinear Wave Equations, Partial Differential Equations
Lance Small (Ph.D. Chicago) Professor
Algebra, Noncommutative Ring Theory
Lei Ni (Ph.D. UC Irvine) Assistant Professor
Differential Geometry, Partial Differential Equations, Complex
Geometry and Analysis, Riemannian Geometry
Adrian Wadsworth (Ph.D. Chicago) Professor
Commutative Algebra
Kate Okikiolu (Ph.D. UCLA) Associate Professor
Geometric Analysis, Spectral Geometry
John Wavrik (Ph.D. Stanford) Associate Professor
Commutative Algebra, Computation
Dimitris Politis (Ph.D. Stanford) Professor
Mathematical Statistics, Time Series Analysis, Bootstrap
Methods, Nonparametrics
Linda Rothschild (Ph.D. MIT) Professor, Dept. Vice-Chair
Several Complex Variables, Partial Differential Equations
Efim Zelmanov (Ph.D. Novosibirsk) Professor
Jordan Algebras, Infinite Discrete Groups, Profinite Groups
Yosef Rinott (Ph.D. Weizmann Institute) Professor Emeritus
Mathematical Statistics, Applied Probability
MATHEMATICS EDUCATION
DISCRETE MATHEMATICS / LOGIC /
THEORETICAL COMPUTER SCIENCE
Murray Rosenblatt (Ph.D. Cornell) Professor Emeritus
Mathematical Statistics, Probability
Guershon Harel (Ph.D. Ben-Gurion) Professor
Mathematics Education
Edward Bender (Ph.D. Caltech) Professor
Combinatorics
TOPOLOGY / GEOMETRY / MATHEMATICAL PHYSICS
Alfred Manaster (Ph.D. Cornell) Professor
Mathematics Education, Mathematical Logic
Samuel Buss (Ph.D. Princeton) Professor
Mathematical Logic, Proof Theory, Computer Science,
Computational Complexity, Computer Graphics
Leonard Haff (Ph.D. Oregon State) Professor
Mathematical Statistics, Combinatorial Game Theory
John O’Quigley (Ph.D. Leeds) Professor
Biostatistics
Burton Rodin (Ph.D. UCLA) Professor Emeritus
Complex Analysis, Riemann Surfaces
Hans Wenzl (Ph.D. Pennsylvania) Professor
Operator Algebras, Algebra
John Evans (Ph.D. UCLA, M.D. Cornell) Professor Emeritus
Biomathematics, Applied Mathematics
NUMBER THEORY / REPRESENTATION THEORY
Jay Fillmore (Ph.D. Minnesota) Professor Emeritus
Geometry
Thomas Enright (Ph.D. U. of Washington) Professor
Group Representations, Lie Algebras
Theodore Frankel (Ph.D. UC Berkeley) Professor Emeritus
Mathematical Physics, Differential Geometry, Morse Theory
Adriano Garsia (Ph.D. Stanford) Professor
Combinatorics, Representation Theory, Theoretical Computer
Science, Real Analysis, Probability Theory
Ronald Evans (Ph.D. Illinois) Professor
Number Theory, Special Functions Over Rings/Fields
Michael Freedman (Ph.D. Princeton) Professor Emeritus
Geometric Topology
Fan Chung Graham (Ph.D. Pennsylvania) Professor
Discrete Mathematics, Spectral Graph Theory
Wee Teck Gan (Ph.D. Harvard) Assistant Professor
Number Theory, Representation Theory, Automorphic Forms
Mark Gross (Ph.D. UC Berkeley) Professor
Algebraic Geometry, Differential Geometry
Jeffrey Remmel (Ph.D. Cornell) Professor, Associate Dean
Combinatorics, Mathematical Logic, Computer Science, Hybrid
Control
Harold Stark (Ph.D. UC Berkeley) Professor
Number Theory
Patrick Ledden (Ph.D. Stanford) Sr. Lecturer, Muir Provost
Topology
Audrey Terras (Ph.D. Yale) Professor
Number Theory, Harmonic Analysis on Symmetric Spaces
James Lin (Ph.D. Princeton) Professor
Algebraic Topology
Nolan Wallach (Ph.D. Washington U.) Professor
Representation Theory, Lie Groups
David Meyer (Ph.D. MIT) Professor
Mathematical Physics, Quantum Computation
NUMERICAL ANALYSIS / NUMERICAL PARTIAL DIFFERENTIAL
EQUATIONS / SCIENTIFIC COMPUTATION
Jeffrey Rabin (Ph.D. Stanford) Professor
Mathematical Physics, Supermanifolds and Supervarieties,
String Theory
Van Vu (Ph.D. Yale) Assistant Professor
Combinatorics, Theoretical Computer Science, Combinatorical
Number Theory
FUNCTIONAL ANALYSIS / CONTROL THEORY /
PERTURBATION THEORY / APPROXIMATION THEORY
Jim Agler (Ph.D. Indiana) Professor
Operator Theory
Randolph Bank (Ph.D. Harvard) Professor
Numerical Partial Differential Equations
Justin Roberts (Ph.D. Cambridge) Associate Professor
Low Dimensional Topology, Topological Quantum Field Theory
J. William Helton (Ph.D. Stanford) Professor
Linear and Nonlinear Operators, Non-Commutative Computer
Algebra, Approximation
James Bunch (Ph.D. UC Berkeley) Professor, Dept. Chair
Numerical Linear Algebra, Signal Processing
William McEneaney (Ph.D. Brown) Associate Professor
Optimal Control, Nonlinear Systems
Li-Tien Cheng (Ph.D. UCLA) Assistant Professor
Image Processing, Level Set Methods
Al Shenk (Ph.D. Stanford) Lecturer Emeritus
Partial Differential Equations, Numerical Analysis
Philip Gill (Ph.D. London U.) Professor
Numerical Optimization
Donald Smith (Ph.D. Stanford) Professor Emeritus
Differential Equations, Singular Perturbation Theory
Hubert Halkin (Ph.D. Stanford) Professor Emeritus
Optimization Theory, Computer Science
Daniel Wulbert (Ph.D. Texas) Professor, Dept. Vice-Chair
Approximation Theory, Functional Analysis
Michael Holst (Ph.D. Illinois) Associate Professor
Numerical Partial Differential Equations, Scientific Computation
GEOMETRIC ANALYSIS / COMPLEX ANALYSIS /
PARTIAL DIFFERENTIAL EQUATIONS
Peter Teichner (Ph.D. Mainz) Professor
Geometric Topology
PROBABILITY / STOCHASTIC PROCESSES
AWARDS WON BY UCSD MATH FACULTY
Bruce Driver (Ph.D. Cornell) Professor
Probability, Geometry
Salah Baouendi (Ph.D. Paris) Professor
Several Complex Variables, Partial Differential Equations
Patrick Fitzsimmons (Ph.D. Case Western Reserve) Professor
Probability
Bennett Chow (Ph.D. Princeton) Professor
Differential Geometry, Geometric Evolution
Ronald Getoor (Ph.D. U. of Michigan) Professor Emeritus
Probability
Peter Ebenfelt (Ph.D. Royal Inst. of Technology) Professor
Several Complex Variables, Complex Geometry, Partial
Differential Equations
Michael Sharpe (Ph.D. Yale) Professor
Probability
John Eggers (Ph.D. UCSD) Lecturer
Several Complex Variables, Partial Differential Equations
Ruth Williams (Ph.D. Stanford) Professor
Probability Theory, Stochastic Processes
Carl FitzGerald (Ph.D. Stanford) Professor
Approximation Theory, Complex Analysis, Differential Games
Avg. High
Avg. Low
Avg. Precip
January
65
48
2.2”
February
66
50
1.6”
March
66
52
1.9”
April
68
55
0.8”
May
69
58
0.2”
San Diego Weather
June
July
72
76
61
65
0.1”
T
August
77
66
0.1”
September
77
65
0.2”
Academy of Arts & Sciences
National Academy of Sciences
Sloan Fellowships
Guggenheim Fellowships
Hellman Fellowships
von Humboldt Fellowships
MacArthur Fellowships
Fields Medal
Veblen Prize
College de France Medal
Aizenstadt Prize
Rollo Davidson Prize
National Medal of Science
October
74
60
0.4”
November
71
53
1.1”
December
66
49
1.4”
5
4
11
4
1
1
1
3
2
1
1
1
1